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Finding the Fourth Proportional to 147,574.83, 203,652.32 and 83,912.63

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Solution

The fourth proportional to 147,574.83, 203,652.32 and 83,912.63 is: 115,798.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,574.83 : 203,652.32 = 83,912.63 : x
  2. Step 2: Convert to fraction form
    147,574.83/203,652.32 = 83,912.63/x
  3. Step 3: Cross multiply
    147,574.83x = 203,652.32 × 83,912.63
  4. Step 4: Simplify right side
    147,574.83x = 17,089,000,338.98
  5. Step 5: Solve for x
    x = 17,089,000,338.98/147,574.83
  6. Step 6: Final answer
    x = 115,798.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.